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10. A boy throws a ball with an initial velocity of 25 m/s at an angle of 30° above the horizontal. If air resistance is negligible, how high above the projection point is the ball after 2.0s? How long is it in the air, and how far does it go before hitting the ground? 11. A projectile leaves the ground at 150 m/s and reaches a maximum height of 0.57 km. If there was no air resistance, at what angle above the horizontal did it leave the ground? 12. The figure shows two vectors B and C,along with their magnitudes and directions. The vector is given by D -2-3č. a. What is the magnitude of vector D? b. What angle does vector D make with the +x-axis? 5 m 3.5 m 13. The Disney Flying Dumbo ride has big-ear elephants that have a speed of 2.4 m/s, and a radius of 3.5 m. What acceleration do the riders require to stay in their seats, and in what direction? 14. As in problem 8, the Disney Flying Dumbo ride has big-ear elephants that have a speed of 2.4 m/s, and a radius of 3.5 m. Once the ride is over, the elephants are decelerated at 1 m/s2. At this point, what acceleration do the riders experience? a. b. Give the answer in both Cartesian and Polar coordinates, assuming the elephants position is (3.5,0). What are the coordinates if the elephant is at (0,-3.5) x(m) 15. The graph represents the motion of two ladybugs, Kyle (K) (solid graph) and Lea (L) (dotted graph), moving along the same straight line. a. What is the initial distance between K and L? b. What is the instantaneous velocity of K at t = 1.0 s? c. What is the instantaneous velocity of Katt 6.0s? d, what is the average velocity of L between t-o and t # 10 s? e, what is the average speed of L between t:0and t # 10 s? 12 4 6 0 1s) 16. This graph shows the velocity of two ladybugs, Kyle (K) (solid graph) and Lea (L.) (dotted graph), moving along the same straight line a. What is the displacement of K between t 0sand t 10 s? b. What is the total distance covered by K between t- 0.0 s and t 1 2 46i 10 t(s) 10.0 s? c. What is the acceleration of Katt-6.0s? d. What is the average acceleration between t- O and t-8s for K?

a, (m/s) r (s) 17. Create graphs for velocity vs. time and position vs. time. Assume at t 0, the particle is at at x3.0 m and v-1.0 m/s 5 10 15 20 20 5 10 15 20 Velocity 20 30 500 200 5 10 15 20

objects acceleration att-is? 7. An objects velocity may be modeled as a(t) (0.03t+4t+3)i (-0.01 2t-8) If the objects initial position is (3,4) and initial velocity is (1,0) what are the objects position and velocity equations? What is the magnitude and direction of the objects position at t 2.5 s? A celebrating student throws a water balloon horizontally from a window 50 m abo ground 60 m from the building without appreciable air resistance (a) What is the horizontal component of the velocity of the balloon just before it hits the ground? (b) What is the magnitude of the vertical velocity of the balloon just before it hits the ground? 8. ve the ground. It hits the 9. A plane flying horizontally at a speed of 50 m/s and at an elevation of 160 m drops a package, and 20 s later it drops a second package. How far apart will the two packages land on the ground if air resistanceis negligible?

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Answer #1

Initial speed, u = 25m/s - 30 Use cose uy = usine 0 At t = 25 ataub blog darom a y = Uyt + tayot - Tall - usino.t- 1 + gxt² -

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